Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

In the two-dimensional (2D) case and 5-point stencil, the Complete Centered Finite Difference Method presents a dispersion relation equivalent to Galerkin/Least-Squares Finite Element Method. In the ...

A non-standard fitted operator finite difference method based on the Crank-Nicolson discretization for time variable comprising a non-standard fitted operator finite difference on uniform mesh for ...

Next, the individual exact partial derivatives in the partial differential equation are approximated using finite difference approximations. The finite difference approximations are then substituted ...

A nonconformal hybrid finite difference time domain (FDTD)/finite element time domain (FETD) method was previously introduced, which implemented the hybridization through a buffer zone. Although this ...

Without JAX, the standard method for performing optimization involves computing derivatives using finite difference methods. While these can be integrated into JAX using custom functions, the process ...

Three introduces the principles of the isogeometric Finite Element Method for the statics of flexoelectric materials. Section 4 validates the IGA-FEM, PCE surrogate models and the sensitivity values ...